Find the wrong no. `8,27,64,125,217,343`

Answer

To find the wrong number in the series `8, 27, 64, 125, 217, 343`, we will analyze the pattern of the numbers step by step.

### Step 1: Identify the pattern
The numbers in the series appear to be cubes of integers. Let's calculate the cubes of the first few integers:

- \(2^3 = 8\)
- \(3^3 = 27\)
- \(4^3 = 64\)
- \(5^3 = 125\)
- \(6^3 = 216\)
- \(7^3 = 343\)

### Step 2: Compare the series with the cubes
Now, let's compare the numbers in the series with the cubes we calculated:

- The first number \(8\) is \(2^3\).
- The second number \(27\) is \(3^3\).
- The third number \(64\) is \(4^3\).
- The fourth number \(125\) is \(5^3\).
- The fifth number \(217\) is not \(6^3\) (which is \(216\)).
- The sixth number \(343\) is \(7^3\).

### Step 3: Identify the incorrect number
From our comparison, we see that the fifth number \(217\) does not fit the pattern of cubes. Instead, it should be \(216\) (which is \(6^3\)).

### Step 4: Conclusion
Thus, the wrong number in the series is \(217\). It should be replaced with \(216\) to maintain the pattern of cubes.

### Final Answer
The wrong number is **217**.

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